\[8,12\]
Method 1: By Listing Factors
1
List the factors of each number.
Factors of 8
: 1, 2, 4, 8
Factors of 12
: 1, 2, 3, 4, 6, 12
2
Find the largest number that is shared by all rows above. This is the GCF.
GCF = 44

Method 2: By Prime Factors
1
List the prime factors of each number.
Prime Factors of 8
: 2, 2, 2
Prime Factors of 12
: 2, 2, 3
2
Find the intersection of these primes.
2,22,2

3
Multiply these numbers: 2×2=42\times 2=4. This is the GCF.
GCF = 44

Done
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